Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/38,506/99,776/736
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 369,506,776
Greatest Common Factor of Numerators i.e. GCF of 369,506,776 is 1 .
LCM of Denominators means LCM of 38,99,736 as per the given fractions.
LCM of 38,99,736 is 1384416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 369,506,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 369,506,776 . The biggest common factor number is the GCF number.
So the greatest common factor 369,506,776 is 1.
Lets's calculate LCM of 38,99,736
2 | 38, 99, 736 |
19, 99, 368 |
∴ So the LCM of the given numbers is 2 x 19 x 99 x 368 = 1384416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1384416
Therefore, the GCF of Fractions 369/38,506/99,776/736 is 1/1384416
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 38,99,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,99,736) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,99,736) x common factors =1 x 2 = 2
LCM(38,99,736) = ( 38 × 99 × 736 ) / 2
LCM(38,99,736) = 2768832 / 2
LCM(38,99,736) = 1384416
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 369/38, 506/99, 776/736?
Answer: GCF of Numerators as per given numbers 369/38, 506/99, 776/736 is
GCF of Numerators i.e. for 369,506,776 is 1
LCM of denominators i.e. for 38,99,736 is 1384416.
Thus, GCF of Fractions is 1/1384416.Finally, GCF of Fractions for 369/38, 506/99, 776/736 is 1/1384416.